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Finite Element Modeling of Crack Interactions with Solder Balls

机译:焊球裂纹相互作用的有限元建模

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In this study, three-dimensional finite elements were employed to study inter-facial cracking problems encountered in electronic packaging. In the crack tip region, special elements were used that contain the correct 3-D crack tip singularity field with unknown stress intensity factors. These elements are usually designated as "enriched crack-tip elements". Using enriched elements, the elastic-plastic behavior of solder balls and interaction effects with nearby cracks in a semiconductor package were investigated. Neglecting time dependent effects (creep, viscoplasticity), stress and fracture analyses were performed. Applying periodicity boundary conditions, a slice near the central region of a semiconductor device was considered. Two differently shaped inter-facial cracks near the fillet region were considered. Including plasticity effects on the solder balls, the interaction between plastic deformation and fracture parameters was investigated (elastic crack tip behavior). The two interfacial crack configurations are; a vertical crack between the fillet and the chip, and an "L" shaped crack between the under-fill material and the chip. The results from these calculations showed that plastic deformation, especially on the outermost solder ball, is affected by the presence of a crack in its vicinity and vice versa. It was observed that the plastic strains increase as the crack tip approaches the outermost solder ball. Depending on the type of crack under consideration, the fracture parameters can also vary significantly along the crack front even for the straight through cracks examined in this paper. This is attributed to the fact that there are two different materials (underfill material and solder) ahead of the crack front and that the solder deforms elasto-plastically. In studying the "L" shaped crack, it was concluded that inclusion of crack surface contact is critical for accurate determination of plastic strains and fracture parameters.
机译:在这项研究中,采用三维有限元在电子包装中研究遇到的面部裂缝问题。在裂缝尖端区域中,使用特殊元件,其包含具有未知应力强度因子的正确的3-D裂纹尖端奇异度场。这些元素通常被称为“富集的裂缝尖端元件”。研究了使用富集的元件,研究了焊球的弹性塑性行为和半导体封装中附近裂缝的相互作用效应。忽略时间依赖性效应(蠕变,粘塑料),应力和断裂分析。施加周期性边界条件,考虑了半导体器件的中心区域附近的切片。考虑了圆角区域附近的两个不同形状的面部裂缝。包括对焊球的可塑性效应,研究了塑性变形与裂缝参数之间的相互作用(弹性裂纹尖端行为)。两个界面裂纹配置是;圆角和芯片之间的垂直裂缝,以及填充材料和芯片之间的“L”形裂缝。这些计算结果表明,塑性变形,特别是在最外焊球上,受其附近存在裂缝的影响,反之亦然。观察到塑料菌株随着裂缝尖端接近最外焊球而增加。根据所考虑的裂缝类型,即使在本文中检查的直接通过裂缝,骨折参数也可以沿着裂缝前线显着变化。这归因于以下事实,即在裂缝前面有两种不同的材料(底部填充材料和焊料),并且焊料使弹性塑性变形。在研究“L”形裂纹时,得出结论,夹杂物表面触点对于精确测定塑性菌株和骨折参数至关重要。

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